Skin rash from Biotin?
You could be sensitive to one of the binders they use in that particular brand of biotin. I have very sensitive skin and what you're describing sounds like eczema. Mine will act up if it gets too hot...or too cold...or if I eat to much wheat...or dairy. You get the idea.
If you stop taking it and it clears up you'll obviously have your answer. But don't fret - biotin does zilch to prevent hair loss. It'll help the new hair you grow be strong and healthy if you were lacking in the mineral but like another poster said - ALL the hair on your body will grow faster and stronger!
You are very early out. My skin did all sorts of things for the first 6 months post-op - dry to oily, to break out, to flaking. Just a reaction I assumed from the drastic dietary change.
The only way to tell if something else is causing it is to do an elimination test. Stop taking it and see if the skin problems clear up. I've taken biotin since surgery without any bad side effects. No rashes, no excessive hair growth.